In
geometry, a
transversal is a
line that passes through two lines in the same
plane at two distinct
points. Transversals play a role in establishing whether two other lines in the
Euclidean plane are
parallel. The intersections of a transversal with two lines create various types of pairs of angles:
consecutive interior angles,
corresponding angles, and
alternate angles. By Euclid's
parallel postulate, if the two lines are parallel, consecutive interior angles are
supplementary, corresponding angles are equal, and alternate angles are equal.